We are asked to find the area and perimeter of the given shape. The shape is a 'U' shape with the following dimensions: height of the vertical sides is 30 cm + 43 cm = 73 cm. The length of the top sides of the U shape is (44 cm - 26 cm)/2 = 9 cm. The top vertical sides are 30 cm, the inside width is 26 cm, and the base is 44 cm.

GeometryAreaPerimeterComposite ShapesRectangles
2025/5/23

1. Problem Description

We are asked to find the area and perimeter of the given shape. The shape is a 'U' shape with the following dimensions: height of the vertical sides is 30 cm + 43 cm = 73 cm. The length of the top sides of the U shape is (44 cm - 26 cm)/2 = 9 cm. The top vertical sides are 30 cm, the inside width is 26 cm, and the base is 44 cm.

2. Solution Steps

First, let's find the area. We can divide the shape into three rectangles.
Rectangle 1: left vertical rectangle, width = (44-26)/2 = 9 cm, height = 43 cm + 30 cm = 73 cm.
Rectangle 2: right vertical rectangle, width = (44-26)/2 = 9 cm, height = 43 cm + 30 cm = 73 cm.
Rectangle 3: middle horizontal rectangle, width = 26 cm, height = 43 cm.
Area of Rectangle 1 = 973=6579 * 73 = 657 cm2^2
Area of Rectangle 2 = 973=6579 * 73 = 657 cm2^2
Area of Rectangle 3 = 2643=111826 * 43 = 1118 cm2^2
Total Area = 657+657+1118=2432657 + 657 + 1118 = 2432 cm2^2
Now, let's find the perimeter.
Perimeter = 44 + 73 + 9 + 30 + 26 + 30 + 9 + 73 = 294 cm
Perimeter Calculation:
The bottom side: 44 cm
The left side: 43 cm + 30 cm = 73 cm
Top left small width: (44 - 26) / 2 = 9 cm
Top left vertical height: 30 cm
The top middle side: 26 cm
The top right vertical height: 30 cm
Top right small width: (44 - 26) / 2 = 9 cm
The right side: 43 cm + 30 cm = 73 cm
Perimeter = 44+73+9+30+26+30+9+73=29444 + 73 + 9 + 30 + 26 + 30 + 9 + 73 = 294 cm

3. Final Answer

Area = 2432 cm2^2
Perimeter = 294 cm

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